Average Error: 0.1 → 0.1
Time: 5.5s
Precision: 64
\[\cosh x \cdot \frac{\sin y}{y}\]
↓
\[\cosh x \cdot \frac{\sin y}{y}\]
\cosh x \cdot \frac{\sin y}{y}
↓
\cosh x \cdot \frac{\sin y}{y}
double f(double x, double y) {
        double r513911 = x;
        double r513912 = cosh(r513911);
        double r513913 = y;
        double r513914 = sin(r513913);
        double r513915 = r513914 / r513913;
        double r513916 = r513912 * r513915;
        return r513916;
}
↓
double f(double x, double y) {
        double r513917 = x;
        double r513918 = cosh(r513917);
        double r513919 = y;
        double r513920 = sin(r513919);
        double r513921 = r513920 / r513919;
        double r513922 = r513918 * r513921;
        return r513922;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.1
Target0.1
Herbie0.1
\[\frac{\cosh x \cdot \sin y}{y}\]

Derivation

  1. Initial program 0.1

    \[\cosh x \cdot \frac{\sin y}{y}\]

  2. Final simplification0.1

    \[\leadsto \cosh x \cdot \frac{\sin y}{y}\]

Reproduce

herbie shell --seed 2020021 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$csinh from linear-1.19.1.3"
  :precision binary64

  :herbie-target
  (/ (* (cosh x) (sin y)) y)

  (* (cosh x) (/ (sin y) y)))